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How do I algebraically prove whether a function is even, odd, or neither?

Please explain then demonstrate on the equation 7x4-x2.

 Oct 13, 2017
 #1
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If  f(x)  = f(-x)....the function is even

If  f (-x)   =  - f (x)   ....the function is odd

 

So  let   f(x)  = 7x^4   - x^2

Sub  -x  for x

 f(-x)   =  7(-x)^4  -  (-x)^2  =   7x^4  - x^2

 

So..... since   f(x)  = f(-x)......this function is even

 

 

cool cool cool

 Oct 13, 2017

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